What is the domain of y=6-sqrt(x+36),x<= 6 ?

The domain of y=6-sqrt(x+36),x<= 6 is -36<= x<= 6

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domain of y=6-sqrt(x+36),x<= 6

domain

y = 6 - x + 36, x \leq 6

- 36 \leq x \leq 6

Interval Notation

[- 36, 6]

Solution steps

Set the domain to the given interval

x \leq 6

Find non-negative values for radicals:

x \geq - 36

Join real regions with the domain:

x \geq - 36 and x \leq 6

- 36 \leq x \leq 6

f (x) = 4 sin (2) (x - \frac{π}{3}) + 1

f (x) = 4 x + 6

(- 4, 5), (2, - 2)

f (x) = \frac{400 + 8 x}{x}

f (x) = - 3 x - 4 = - 5 y - 8

What is the domain of y=6-sqrt(x+36),x<= 6 ?
The domain of y=6-sqrt(x+36),x<= 6 is -36<= x<= 6